Micromechanical Analysis of Anisotropic Damage in Brittle Materials

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Meso-scale computational modeling of the plastic-damage response of cementitious composites (2011, unknown): “[14] and Zhu et al.”
Coupling between anisotropic damage and permeability variation in brittle rocks (2005, background): “[32], the continuous crack density function oðnÞ can be expressed as a function of the macroscopic damage tensor D: Therefore, for the two particular cases corresponding to solids containing fully opened and closed cracks, the macroscopic free enthalpy (1) can be analytically integrated and expresse”
Micromechanical analysis of coupling between anisotropic damage and friction in quasi brittle materials: Role of the homogenization scheme (2008, methodology): “…d ¼ N a3 is the crack density parameter, initially introduced by Budiansky and O’Connell (1976) and widely used as an internal damage variable in micromechanical damage analysis (Pensée and Kondo, 2003; Pensée et al., 2002; Deudé et al., 2002; Barthelemy, 2005; Dormieux et al., 2006; Zhu, 2006).”